A superconducting metamaterial quantum processor for studying quantum many-body physics: Part 2

Superconducting quantum circuits have recently drawn attention as a platform to study quantum many-body physics with high controllability and fidelity. In particular, the negative anharmonicity of superconducting transmon qubits naturally realizes attractive Bose-Hubbard model for photons, which was employed to study strongly-correlated quantum walks and dissipative stabilization of a many-body state in nearest-neighbor coupled one-dimensional arrays of superconducting qubits. In this talk, we report the progress towards the study of quantum many-body physics in a superconducting metamaterial quantum processor. With tunability of the on-site interaction and the range of hopping, we discuss an extended version of the Bose-Hubbard model realized in our system. We investigate the many-body phases emerging from the interplay of elementary parameters and discuss the characterization of higher-order quantum correlations.